Chinese Quarterly Journal of Mathematics ›› 2017, Vol. 32 ›› Issue (4): 415-424.doi: 10.13371/j.cnki.chin.q.j.m.2017.04.008

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A Kind of Identities Involving Complete Bell Polynomials

  

  1. Department of Mathematics, Luoyang Normal College.  Department of Mathematics and Physical, Luoyang Institute of Science and Technology
  • Received:2015-09-28 Online:2017-12-30 Published:2020-10-20
  • About author:YANG Ji-zhen(1984-), female, native of Luoyang, Henan, a lecturer of Luoyang Normal College, master of science, engages in Combinatorial mathematics; WANG Yun-peng(1981-), male, native of Yingkou, Liaoning, a lecturer of Luoyang Institute of Science and Technology, M.S.D. engages in Combinatorial mathematics.
  • Supported by:
    Supported by the National Natural Science Foundation of China(Grant No.11601543,No.11601216,11701257); Supported by the NSF of Henan Province under Grant(No.172102410069); Supported by the NSF of Education Bureau of Henan Province under Grant(No.16B110009,18A110025); Supported by the Youth Foundation of Luoyang Normal university under Grant(No.2013-QNJJ-001);

Abstract: The purpose of this paper is to establish a formula of higher derivative by Faà di Bruno formula, and apply it to some known results to get some identities involving complete Bell polynomials. 

Key words: Faa` di Bruno formula, complete Bell polynomials, higher derivative

CLC Number: